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On separable cyclic extensions of rings

Published online by Cambridge University Press:  09 April 2009

George Szeto  and
Yuen-Fat Wong
George Szeto
Affiliation:
Department of Mathematics, Bradley University, Peoria, Illinois 61625, U.S.A.
Yuen-Fat Wong
Affiliation:
Department of Mathematics, DePaul University, Chicago, Illinois 60637, U.S.A.
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Abstract

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The quaternion algebra of degree 2 over a commutative ring as defined by S. Parimala and R. Sridharan is generalized to a separable cyclic extension B[j] of degree n over a noncommutative ring B. A characterization of such an extension is given, and a relation between Azumaya algebras and Galois extensions for B[j] is also obtained.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 2 , April 1982 , pp. 165 - 170
Copyright
Copyright © Australian Mathematical Society 1982

References

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